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Finding the Third Proportional to 140,265 and 300,226.50

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Solution

The third proportional to 140,265 and 300,226.50 is: 642,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,265 : 300,226.50 = 300,226.50 : x
  2. Step 2: Convert to fraction form
    140,265/300,226.50 = 300,226.50/x
  3. Step 3: Cross multiply
    140,265x = 300,226.50 × 300,226.50
  4. Step 4: Simplify right side
    140,265x = 90,135,951,302.25
  5. Step 5: Solve for x
    x = 90,135,951,302.25/140,265
  6. Step 6: Final answer
    x = 642,611.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.